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Finding the Fourth Proportional to 13,714.96, 18,926.25 and 8,125.96

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Solution

The fourth proportional to 13,714.96, 18,926.25 and 8,125.96 is: 11,213.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.96 : 18,926.25 = 8,125.96 : x
  2. Step 2: Convert to fraction form
    13,714.96/18,926.25 = 8,125.96/x
  3. Step 3: Cross multiply
    13,714.96x = 18,926.25 × 8,125.96
  4. Step 4: Simplify right side
    13,714.96x = 153,793,855.82
  5. Step 5: Solve for x
    x = 153,793,855.82/13,714.96
  6. Step 6: Final answer
    x = 11,213.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.